27113286330 has 384 divisors, whose sum is σ = 83655936000. Its totient is φ = 6263288064.

The previous prime is 27113286307. The next prime is 27113286379. The reversal of 27113286330 is 3368231172.

27113286330 is a `hidden beast` number, since 2 + 7 + 1 + 13 + 2 + 8 + 633 + 0 = 666.

It is a super-2 number, since 2×27113286330² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119441677 + ... + 119441903.

It is an arithmetic number, because the mean of its divisors is an integer number (217854000).

Almost surely, 2^27113286330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27113286330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968000).

27113286330 is an abundant number, since it is smaller than the sum of its proper divisors (56542649670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27113286330 is a wasteful number, since it uses less digits than its factorization.

27113286330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27113286330 in words is "twenty-seven billion, one hundred thirteen million, two hundred eighty-six thousand, three hundred thirty".